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Question bank AMO 2022

Exam papers

250 questions

Question 1

Ryan is 10th from the front and 10th from the end of a line. How many people are in the line?

Question illustration
  1. 10
  2. 19
  3. 20
  4. 21
  5. 25

Question 2

Kevin writes every whole number from 1 to 100 once, including both endpoints. How many times does he write the digit 1?

Question illustration
  1. 19
  2. 20
  3. 21
  4. 22
  5. 23

Question 3

Five ears of corn cost 2 dollars. Mom needs 60 ears for a party. How many dollars must she pay?

Question illustration
  1. 15 dollars
  2. 20 dollars
  3. 24 dollars
  4. 25 dollars
  5. 30 dollars

Question 4

A box with crackers weighs 1 kg. The empty box weighs 50 g. What is the weight of the crackers in grams?

Question illustration
  1. 450 g
  2. 500 g
  3. 950 g
  4. 1050 g
  5. 1250 g

Question 5

Jason has seven friends at his birthday party. He cuts a cake into 12 equal slices. Jason and each friend eat one slice. What fraction of the cake is left?

Question illustration
  1. $1/4$
  2. $1/3$
  3. $1/2$
  4. $7/12$
  5. $2/3$

Question 6

Use each digit 0, 3, 6, 8 exactly once to make four-digit numbers, with no leading zero. What is the difference between the greatest and smallest possible numbers?

Question illustration
  1. 8262
  2. 5562
  3. 4950
  4. 3744
  5. 3528

Question 7

A basket has 45 red or green apples. There are twice as many red apples as green apples. How many more red apples are there? In the diagram, R means red and G means green.

Question illustration
  1. 35
  2. 30
  3. 25
  4. 20
  5. 15

Question 8

A rectangular table has area 18 square feet and one side 3 feet long. What is its perimeter in feet?

Question illustration
  1. 9 feet
  2. 18 feet
  3. 21 feet
  4. 22 feet
  5. 25 feet

Question 9

Which numbered shape cannot be made by folding a rectangular sheet of paper once? Clarification for a definite answer: interpret shape 3 as an acute triangle (all three angles smaller than a right angle). The source does not label its angles.

Question illustration
  1. 1
  2. 2
  3. 3
  4. 4
  5. 5